The number 2772
2772 is a palindrome: it reads 2772 backwards too. Its prime factorisation is × × 7 × 11. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36 … 2772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2772: a palindrome: it reads 2772 backwards too; a Harshad number: divisible by its digit sum 18.
- 2
2772 is composite. Its prime factorisation is
- 3
The divisors add up to 8736; without 2772 itself that is 5964, so 2772 is abundant (5964 is more than 2772). Euler's totient φ(2772) = 720 numbers up to 2772 share no factor with it.
- 4
The digits of 2772 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2772 = 2^{2} \times 3^{2} \times 7 \times 11 \]2772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 8736 |
| Euler totient φ(n) | 720 |
| Square | 7683984 |
| Cube | 21300003648 |
| Square root | 52.649786 (= 6√77) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 35 |
| Scientific notation | 2.772 × |
2772 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and seventy-two |
| Roman numerals | MMDCCLXXII |
| Binary (base 2) | 101011010100 |
| Octal (base 8) | 5324 |
| Hexadecimal (base 16) | AD4 |
| Base 3 | 10210200 |
| As time | 2772 seconds = 46 min 12 s |
Is 2772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2772 ÷ 2 = 1386) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2772 ÷ 3 = 924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2772 ÷ 4 = 693) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2772 ÷ 6 = 462) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2772 ÷ 7 = 396) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2772 ÷ 9 = 308) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (2772 ÷ 11 = 252) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2772 ÷ 12 = 231) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2772 a prime number?
No. 2772 = × × 7 × 11, so it is divisible by 2.
What are the factors of 2772?
1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386, 2772.
What is 2772 in binary?
101011010100 (hexadecimal AD4, octal 5324).
What is the square root of 2772?
About 52.6498, exactly 6√77.
What is 2772 in Roman numerals?
MMDCCLXXII.
Is 2772 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2772?
2772 is a palindrome: it reads 2772 backwards too; a Harshad number: divisible by its digit sum 18.